Answer:
8
Step-by-step explanation:
8^2=64 8*5=40 64-40=24
Answer:
x = 
Step-by-step explanation:
Given
+ 
= 1
Multiply through by ab to clear the fractions
bx + ax = ab ← factor out x from each term on the left side
x(b + a) = ab ← divide both sides by (b + a)
x =
Answer is A
Just make sure you do know how to do them :)
Answer:
The length of the chord is 16 cm
Step-by-step explanation:
Mathematically, a line from the center of the circle to a chord divides the chord into 2 equal portions
From the first part of the question, we can get the radius of the circle
The radius form the hypotenuse, the two-portions of the chord (12/2 = 6 cm) and the distance from the center to the chord forms the other side of the triangle
Thus, by Pythagoras’ theorem; the square of the hypotenuse equals the sum of the squares of the two other sides
Thus,
r^2 = 8^2 + 6^2
r^2= 64 + 36
r^2 = 100
r = 10 cm
Now, we want to get a chord length which is 6 cm away from the circle center
let the half-portion that forms the right triangle be c
Using Pythagoras’ theorem;
10^2 = 6^2 + c^2
c^2 = 100-36
c^2 = 64
c = 8
The full
length of the chord is 2 * 8 = 16 cm
Answer:
x = 27
Step-by-step explanation:
Both angles together form 180 degree.
Set your formula up as
180 = (5x+2) + (x + 16)
180 = 5x + 2 + x + 16
180 = 6x + 18
180 - 18 = 6x
162 = 6x
162/6 = x
27 = x
